Question

What is the volume of this triangular prism?

A.
33 cm3


B.
210 cm3


C.
420 cm3


D.
840cm3

Answer 1

`The\ volume\ of\ the\ prism:V=A_B\cdot H\\\\A_B-area\ of\ the\ base;\ H-height\ of\ the\ prism\\-------------------------------\\\\In\ base\ is\ the\ triangle.\ The\ area\ of\ the\ triangle:A_\Delta=(b\cdot h)/(2)\\\\b-the\ basel\ h-the\ height\\\\b=14cm;\ h=4cm\\\\subtitute:A_\Delta=(14\cdot4)/(2)=(56)/(2)=\boxed{28\ (cm^2)}\\\\Answer:V=28\cdot15=\boxed{420\ (cm^3)}\leftarrow\boxed{\boxed{C}}}`